From 4d822c111f5f50a98a47a4d797cb6cd8ba08bdc0 Mon Sep 17 00:00:00 2001
From: Dmitry Yurov <d.yurov@fz-juelich.de>
Date: Wed, 13 Sep 2017 13:39:49 +0200
Subject: [PATCH] Integral expression for ripple2 form-factor replaced by its
value in user manual
Redmine-Fix: #1788
---
Doc/UserManual/FormFactors.tex | 23 +++++++++++++----------
1 file changed, 13 insertions(+), 10 deletions(-)
diff --git a/Doc/UserManual/FormFactors.tex b/Doc/UserManual/FormFactors.tex
index f0638bcb74e..bbc180606f5 100644
--- a/Doc/UserManual/FormFactors.tex
+++ b/Doc/UserManual/FormFactors.tex
@@ -1858,16 +1858,19 @@ They must fulfill
\end{displaymath}
\paragraph{Form factor, volume, horizontal section}\strut\\
-\begin{align*}
-F &=L W
-\sinc\left(\frac{q_xL}{2}\right)\times \\ &
-\int_0^H \!\d z\,
-\left(1-\frac{z}{H}\right)
- \sinc\left[\frac{q_y
- W}{2}\left(1-\frac{z}{H}\right)\right]
-\exp\left\{ i\left[q_zz -
- q_yd\left(1-\frac{z}{H}\right)\right]\right\}
-\end{align*}
+\begin{equation*}
+ F = \frac{L H}{q_y}
+ \sinc\left(\frac{q_xL}{2}\right)
+ \e^{-i \left(q_y d + \frac{\pi}{2}\right)}
+ \left[
+ \e^{i \alpha_{+}/2} \sinc\left( \frac{\alpha_{-}}{2} \right)
+ - \e^{i \alpha_{-}/2} \sinc\left( \frac{\alpha_{+}}{2} \right)
+ \right],
+\end{equation*}
+\begin{equation*}
+ \alpha_{+} = H q_z + \frac{q_y W}{2} + q_y d, \quad
+ \alpha_{-} = H q_z - \frac{q_y W}{2} + q_y d,
+\end{equation*}
\begin{equation*}
V = \dfrac{L W H}{2},
\end{equation*}
--
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